Question

Larry rolls 2 fair dice and adds the results from each.

Work out the probability of getting a total less than 8.

Answer 1

7/12.

Explanation:

The total possible outcomes = 6*6 = 36.

Possible outcomes for a total 8 or greater are :

2,6 6,2 3,5 5,3 3,6 6,3 4,4 4,5 5,4 4,6 6,4 5,5, 5,6 6,5 6,6 = 15.

So the number of outcomes for a sum < 8 = 36 - 15 = 21.

Answer is 21/36 = 7/12.